Atkin-Lehner |
2- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cf |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
170683258996250 = 2 · 54 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99480778,381931212831] |
[a1,a2,a3,a4,a6] |
Generators |
[33645582:-8860393:5832] |
Generators of the group modulo torsion |
j |
61458947171027474307849/96346250 |
j-invariant |
L |
9.7743961991112 |
L(r)(E,1)/r! |
Ω |
0.25935920662026 |
Real period |
R |
9.4216784359734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010a3 |
Quadratic twists by: -11 |